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Finding the Third Proportional to 39,098 and 85,253

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Solution

The third proportional to 39,098 and 85,253 is: 185,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,098 : 85,253 = 85,253 : x
  2. Step 2: Convert to fraction form
    39,098/85,253 = 85,253/x
  3. Step 3: Cross multiply
    39,098x = 85,253 × 85,253
  4. Step 4: Simplify right side
    39,098x = 7,268,074,009
  5. Step 5: Solve for x
    x = 7,268,074,009/39,098
  6. Step 6: Final answer
    x = 185,893.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.